Creation of Matter in the Universe and Groups of Type E7

Abstract

We relate the mechanism of matter creation in the universe after inflation to a simple and universal mathematical property of extended N > 1 supergravities and related compactifications of superstring theory. We show that in all such models, the inflaton field may decay into vector fields due to a nonminimal scalar-vector coupling. This coupling is compulsory for all scalars except N=2 hyperscalars. The proof is based on the fact that all extended supergravities described by symmetric coset spaces G/H have duality groups G of type E7, with exception of U(p,n) models. For N=2 we prove separately that special geometry requires a non-minimal scalar-vector coupling. Upon truncation to N=1 supergravity, extended models generically preserve the non-minimal scalar-vector coupling, with exception of U(p,n) models and hyperscalars. For some string theory/supergravity inflationary models, this coupling provides the only way to complete the process of creation of matter in the early universe.

15 pages, 2 tables

References in corpus (7)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• New models of chaotic inflation in supergravity
• Astrophysical and Cosmological Implications of Large Volume String Compactifications
• Inflaton Decay through Supergravity Effects
• N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities
• Black-Hole Attractors in N=1 Supergravity
• The Decay of the Inflaton in No-scale Supergravity

Cited by in corpus (22)

• Gauge field production in SUGRA inflation: local non-Gaussianity and primordial black holes
• Observable non-gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis
• Supersymmetry Breaking due to Moduli Stabilization in String Theory
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• New E77 invariants and amplitudes
• Exponential potential for an inflaton with nonminimal kinetic coupling and its supergravity embedding
• Freudenthal Dual Lagrangians
• Exceptional Lie Algebras, SU(3) and Jordan Pairs Part 2: Zorn-type Representations
• Freudenthal Gauge Theory
• On Absence of 3-loop Divergence in N=4 Supergravity
• Nonlinear (Super)Symmetries and Amplitudes
• The Action with Manifest E7 Type Symmetry
• QCD Axion as a Bridge Between String Theory and Flavor Physics
• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• Black holes and general Freudenthal transformations
• Axion and Neutrino physics in a $U(1)$-enhanced supersymmetric model
• The supersymmetric black holes of N=8 supergravity
• Multi-Centered Invariants, Plethysm and Grassmannians
• On quantum compatibility of counterterm deformations and duality symmetries in $\mathcal{N}\ge 5$ supergravities
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry
• Inflation and Leptogenesis in a $U(1)$-enhanced supersymmetric model
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras